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1. Introduction to Algebra 1.1 Numbers, Variables, and Expressions 1.2 Fractions 1.3 Exponents and Order of Operations 1.4 Real Numbers and the Number Line 1.5 Addition and Subtraction of Real Numbers 1.6 Multiplication and Division of Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying and Writing Algebraic Expressions 2. Linear Equations and Inequalities 2.1 Introduction to Equations 2.2 Linear Equations 2.3 Introduction to Problem Solving 2.4 Formulas 2.5 Unit Analysis 2.6 Linear Inequalities 3. Graphing Equations 3.1 Introduction to Graphing 3.2 Equations in Two Variables 3.3 Intercepts; Horizontal and Vertical Lines 3.4 Slope and Rates of Change 3.5 Slope-Intercept Form 3.6 Point-Slope Form 3.7 Introduction to Modeling 4. Systems of Linear Equations in Two Variables 4.1 Solving Systems of Linear Equations Graphically and Numerically 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Elimination 4.4 Systems of Linear Inequalities 5. Polynomials and Exponents 5.1 Rules for Exponents 5.2 Addition and Subtraction of Polynomials 5.3 Multiplication of Polynomials 5.4 Special Products 5.5 Integer Exponents and the Quotient Rule 5.6 Division of Polynomials 6. Factoring Polynomials and Solving Equations 6.1 Introduction to Factoring 6.2 Factoring Trinomials I (x2 + bx + c) 6.3 Factoring Trinomials II (ax2 + bx + c) 6.4 Special Types of Factoring 6.5 Summary of Factoring 6.6 Solving Equations by Factoring I (Quadratics) 6.7 Solving Equations by Factoring II (Higher Degree) 7. Rational Expressions 7.1 Introduction to Rational Expressions 7.2 Multiplication and Division of Rational Expressions 7.3 Addition and Subtraction with Like Denominators 7.4 Addition and Subtraction with Unlike Denominators 7.5 Complex Fractions 7.6 Rational Equations and Formulas 7.7 Proportions and Variation 8. Introduction to Functions 8.1 Functions and Their Representations 8.2 Linear Functions 8.3 Compound Inequalities and Piecewise-Defined Functions 8.4 Other Functions and Their Properties 8.5 Absolute Value Equations and Inequalities 9. Systems of Linear Equations 9.1 Systems of Linear Equations in Three Variables 9.2 Matrix Solutions of Linear Systems 9.3 Determinants 10. Radical Expressions and Functions 10.1 Radical Expressions and Functions 10.2 Rational Exponents 10.3 Simplifying Radical Expressions 10.4 Operations on Radical Expressions 10.5 More Radical Functions 10.6 Equations Involving Radical Expressions 10.7 Complex Numbers 11. Quadratic Functions and Equations 11.1 Quadratic Functions and Their Graphs 11.2 Transformations and Translations of Parabolas 11.3 Quadratic Equations 11.4 The Quadratic Formula 11.5 Quadratic Inequalities 11.6 Equations in Quadratic Form 12. Exponential and Logarithmic Functions 12.1 Composite and Inverse Functions 12.2 Exponential Functions 12.3 Logarithmic Functions 12.4 Properties of Logarithms 12.5 Exponential and Logarithmic Equations 13. Conic Sections 13.1 Parabolas and Circles 13.2 Ellipses and Hyperbolas 13.3 Nonlinear Systems of Equations and Inequalities 14. Sequences and Series 14.1 Sequences 14.2 Arithmetic and Geometric Sequences 14.3 Series 14.4 The Binomial Theorem Appendix A. Using the Graphing Calculator Appendix B. Sets Appendix C. Linear Programming Appendix D. Synthetic Division Table of Contents
Get Beginning and Intermediate Algebra with Applications & Visualization (Subscription), 4th Edition by Gary K. Rockswold, Minnesota State University, Mankato Terry A. Krieger, Rochester Community and Technical College
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